WENO schemes for mixed-elementunstructured meshes

V. A. Titarev, P. Tsoutsanis, D. Drikakis

Research output: Contribution to journalArticle

58 Citations (Scopus)

Abstract

The paper extends weighted essentially non-oscillatory (WENO) schemes to two-dimensional quadrilateral and mixed-element unstructured meshes. The key element of the proposed methods is a reconstruction procedure suitable for arbitrarily-shaped cells. The resulting schemes achieve the designed uniformly high-order of accuracy and compute discontinuous solutions without spurious oscillations at interfaces between cells of two different types.
LanguageEnglish
Pages585-609
Number of pages25
JournalCommunications in Computational Physics
Volume8
Issue number3
DOIs
Publication statusPublished - 15 Apr 2010

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essentially non-oscillatory schemes
mesh
cells
oscillations

Keywords

  • WENO
  • unstructured
  • mixed-element
  • triangular
  • quadrilateral
  • finite volume

Cite this

Titarev, V. A. ; Tsoutsanis, P. ; Drikakis, D. / WENO schemes for mixed-elementunstructured meshes. In: Communications in Computational Physics. 2010 ; Vol. 8, No. 3. pp. 585-609.
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WENO schemes for mixed-elementunstructured meshes. / Titarev, V. A.; Tsoutsanis, P.; Drikakis, D.

In: Communications in Computational Physics, Vol. 8, No. 3, 15.04.2010, p. 585-609.

Research output: Contribution to journalArticle

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KW - quadrilateral

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